Ab =7,Bc =24 ,Ac =25
Find it by heron formula
(If u do not know pls ignore)
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ΔABC, AC2 = AB2 + BC2
ΔABC is right angled triangle at B
Let the coordinates of B = (0 , 0)
Coordinates of A = (0 , 7) and Coordinates of C = (24 , 0)
Centroid (G) of ΔABC
⇒ 0 + 0 + 24/3 , 7 + 0 + 0/3
⇒ Centroid (G) of ΔABC = (8, 7/3)
By distance formula:
BG2 = (8 - 0)2 + (7/3 - 0)2
⇒ BG2 = 64 + 49/9
⇒ BG2 = 625/9
⇒ BG = 25/3 = 8 1/3
∴ BG is 8 1/3
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